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GCD of 874, 676, 225, 476 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 874, 676, 225, 476 quickly. Get the easiest ways to solve the greatest common divisor of 874, 676, 225, 476 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 676, 225, 476 with Factoring?

Given Input numbers are 874, 676, 225, 476

In the factoring method, we have to find the divisors of all numbers

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (874, 676, 225, 476) = 1.

Find GCD of 874, 676, 225, 476 using Prime Factorization

Given numbers are 874, 676, 225, 476

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 476 are 2 x 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 874, 676, 225, 476 using LCM Formula

Given numbers are 874, 676, 225, 476

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(874, 676) = 295412

GCD(874, 676) = ( 874 x 676 ) / 295412

= 874 / 676

= 874


Step2:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2


Step3:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1


So, Greatest Common Divisor of 874, 676, 225, 476 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 676, 225, 476

Given numbers are 874, 676, 225, 476
The greatest common divisor of numbers 874, 676, 225, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 676, 225, 476 is 1.

FAQs on GCD of 874, 676, 225, 476 Calculator

1. What is the GCD of 874, 676, 225, 476?

GCD of given numbers 874, 676, 225, 476 is 1


2. How to calculate the greatest common divisor of 874, 676, 225, 476?

We can find the highest common divisor of 874, 676, 225, 476 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 874, 676, 225, 476 i.e 1.


3. How can I use the GCD of 874, 676, 225, 476Calculator?

Out the numbers 874, 676, 225, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.